Exam 7: Sampling Distributions

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The only reliable way a researcher can make statistical inferences from a sample to a population is to use non-probability sampling methods.

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At a computer manufacturing company,the actual size of computer chips is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm.A random sample of 12 computer chips is taken.Above what value do 2.5% of the sample means fall?

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1.057

For sample size 1,the sampling distribution of the mean will be normally distributed

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Which of the following is NOT a reason for drawing a sample?

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The University Registrar mailed a survey to a total of 400 students.The sample included 100 students randomly selected from each of the first-year,second-year,third-year,and honours level students on campus last term.What sampling method was used?

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Instruction 7-2 The mean selling price of new homes in a country town over a year was $115,000.The population standard deviation was $25,000.A random sample of 100 new home sales from this town was taken. -Referring to Instruction 7-2,what is the probability that the sample mean selling price was between $113,000 and $117,000?

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The distribution of the number of loaves of bread sold per day by a large bakery over the past 5 years has a mean of 7,750 and a standard deviation of 145 loaves.Suppose a random sample of n = 40 days has been selected.What is the approximate probability that the average number of loaves sold in the sampled days exceeds 7,895 loaves?

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The owner of a fish market has an assistant who has determined that the weights of rainbow trout are normally distributed,with mean of 3.2 kilograms and standard deviation of 0.8 kilogram.If a sample of 64 fish yields a mean of 3.4 kilograms,what is the probability of obtaining a sample mean this large or larger?

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Which of the following sampling methods is a probability sample?

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The evening host of a dinner dance reached into a bowl,mixed all the tickets around,and selected the ticket to award the grand door prize.What sampling method was used?

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Suppose μ = 80 and σ = 20 for a population.In a sample where n = 100 is randomly taken,95% of all possible sample means will fall above 76.71.

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Instruction 7-6 According to an article,19% of the entire Australian population have high-speed access to the Internet.Random samples of size 200 are selected from the Australian population. -Referring to Instruction 7-6,among all the random samples of size 200,________% will have between 9% and 29% who have high-speed access to the Internet.

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Instruction 7-4 According to a survey,only 15% of customers who visited the web site of a major retail store made a purchase.Random samples of size 50 are selected. -Referring to Instruction 7-4,what proportion of the samples will have less than 15% of customers who will make a purchase after visiting the web site?

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Sampling error can be reduced by taking larger sample sizes.

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Instruction 7-6 According to an article,19% of the entire Australian population have high-speed access to the Internet.Random samples of size 200 are selected from the Australian population. -Referring to Instruction 7-6,among all the random samples of size 200,90% will have less than ________% who have high-speed access to the Internet.

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At a computer manufacturing company,the actual size of computer chips is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm.A random sample of 12 computer chips is taken.What is the probability that the sample mean will be below 0.95 cm?

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The lecturer of a business statistics class wanted to find out the average amount of time per week her students spent studying for the class.Among the 50 students in her class,20% were first-year students,50% were second-year students and 30% were third-year students.She decided to draw 2 students randomly from the first-year students,5 randomly from the second-year students and 3 randomly from the third-year students.This is an example of a systematic sample.

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A study at a university in New South Wales reveals that,historically,45% of their students are minority students.If random samples of size 75 are selected,the standard error of the proportions of students in the samples who are minority students is ________.

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If the population distribution is symmetric,the sampling distribution of the mean can be approximated by the normal distribution if the samples contain at least 15 observations.

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The standard error of the mean

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